Equivalency: particle with energy

[Pythagorean]

from wiki:

According to the theory of relativity, mass and energy as commonly understood are two names for the same thing, and one is not changed to the other. Rather, neither one appears without the other. Thus, when energy changes type and leaves a system, it takes its mass with it.

E=mc^2

I'm still having trouble conceptualizing this equivalence. If the wiki article speaks true:

If a particle is in a higher energy state, it's actually more massive than the same particle in a lower energy state?

 

[tiny-tim]

If a particle is in a higher energy state, it's actually more massive than the same particle in a lower energy state?

Yup!

A spinning flywheel is "heavier" to push than a non-spinning one.

If a body absorbs radiation by heating up, it is more massive.

Same if it absorbs radiation by having electrons in more energetic states.

 

[Pythagorean]

Yup!

A spinning flywheel is "heavier" to push than a non-spinning one.

If a body absorbs radiation by heating up, it is more massive.

Same if it absorbs radiation by having electrons in more energetic states.

That sounds like an inertial statement. What about gravity? Is the force between a higher-energy particle and the Earth greater than a force between the same particle (in a lower energy state) and the Earth?

So does this mean that somewhere down the line we will be able to construct a mass generator and exploit dm/dt in all kinds of different ways?

 

[tiny-tim]

from wiki:

E=mc^2

That sounds like an inertial statement.

It is an inertial statement.

What about gravity? Is the force between a higher-energy particle and the Earth greater than a force between the same particle (in a lower energy state) and the Earth?

Now you're talking about the equivalence principle, of general relativity, and the equality of inertial mass and gravitational mass …

I suspect the wikipedia article (you didn't provide a link) is only talking about inertial mass and special relativity.

So does this mean that somewhere down the line we will be able to construct a mass generator and exploit dm/dt in all kinds of different ways?

Sorry, not following you.

 

[Pythagorean]

ok, separating the two helps, thanks.

In terms of technology I was asking if it implied that we could theoretically create matter with electricity one day.